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Finding the Third Proportional to 100,478,742 and 217,653,942

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Solution

The third proportional to 100,478,742 and 217,653,942 is: 471,475,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,478,742 : 217,653,942 = 217,653,942 : x
  2. Step 2: Convert to fraction form
    100,478,742/217,653,942 = 217,653,942/x
  3. Step 3: Cross multiply
    100,478,742x = 217,653,942 × 217,653,942
  4. Step 4: Simplify right side
    100,478,742x = 47,373,238,468,139,360
  5. Step 5: Solve for x
    x = 47,373,238,468,139,360/100,478,742
  6. Step 6: Final answer
    x = 471,475,234.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.